ISAT Grade 11 Geometry. Practice it free.

Uses congruence, similarity, coordinate geometry, and geometric measurement to solve problems. This Grade 11 reporting domain maps to 5 practice skills and 8 representative questions from the playable bank.

Grade 115 mapped skills

What the test measures

Geometry skills

Experiment with transformations in the plane
Understand congruence in terms of rigid motions
Prove geometric theorems and apply them to solve problems
Translate between the geometric description and the equation for a conic section

Standards basis

Idaho Content Standards (Mathematics) — Idaho

How the ISAT reports it

Idaho ISAT is a state assessment administered to grades 3–8 and 11 and reported against Idaho grade-level content standards rather than a separate national testing framework. The public ISAT page points to summative blueprints and math specifications, while the Idaho Content Standards page shows the math program is organized by grade-band/domain progressions aligned to Idaho standards.

Blueprint & weighting

The public Idaho ISAT page references summative blueprints and item specifications, but the accessible official page content did not expose a published domain-by-domain percentage blueprint for math.

Official sources

Idaho Department of Education — Idaho Standards Achievement Test (ISAT)
Idaho Department of Education — Idaho Content Standards

Practice by skill

Topics mapped to this domain

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8 free questions · 0/0 correct

Practice playeasy

Two parallel lines are cut by a transversal. Same-side interior angles measure $(6x-5)°$ and $(4x+15)°$ . What is the value of $x$ ?

Same-side interior angles are supplementary: $(6x-5)+(4x+15)=180$ , so $10x+10=180$ and $x=17$ .

Practice playeasy

A circle in the coordinate plane has a diameter with endpoints $(-6, -5)$ and $(-6, 9)\textsf{.}$ What is the radius of the circle?

The endpoints share the same $x$ -coordinate, so the diameter is vertical with length $|9 - (-5)| = 14\textsf{.}$ The radius is half the diameter, so $r = \dfrac{14}{2} = 7\textsf{.}$

Practice playeasy

The equation $x^2 + (y - 6)^2 = 64$ represents Circle A. Circle B is obtained by shifting Circle A down $6$ units in the coordinate plane. Which of the following equations represents Circle B?

Circle A has center $(0, 6)$ and radius $8$ . Shifting down $6$ moves the center to the origin, so Circle B is $x^2 + y^2 = 64$ .

Practice playeasy

Identify the conic: $\dfrac{x^{2}}{16} - \dfrac{y^{2}}{9} = 1$ .

One squared term is subtracted from the other: this is a hyperbola.

Practice playeasy

A circle in the coordinate plane is centered at the origin and passes through the point $(6, 8)\textsf{.}$ Which equation represents the circle?

The radius is the distance from $(0, 0)$ to $(6, 8)\textsf{:}$ $\sqrt{6^2 + 8^2} = \sqrt{100} = 10$ units. Standard form is $(x - h)^2 + (y - k)^2 = r^2\textsf{,}$ so $x^2 + y^2 = 10^2 = 100\textsf{.}$

Practice playeasy

Two parallel lines are cut by a transversal. A linear pair of adjacent angles measure $(5x+10)°$ and $(3x+50)°$ . What is the measure of the larger angle?

A linear pair is supplementary: $(5x+10)+(3x+50)=180$ , so $8x+60=180$ and $x=15$ . The angles are $85°$ and $95°$ , so the larger is $95°$ .

Practice playeasy

A circle in the coordinate plane has a diameter with endpoints $(2, -4)$ and $(18, -4)\textsf{.}$ What is the radius of the circle?

The endpoints share the same $y$ -coordinate, so the diameter is horizontal with length $|18 - 2| = 16\textsf{.}$ The radius is half the diameter, so $r = \dfrac{16}{2} = 8\textsf{.}$

Practice playeasy

The equation $(x - 6)^2 + y^2 = 81$ represents Circle A. Circle B is obtained by shifting Circle A left $6$ units in the coordinate plane. Which of the following equations represents Circle B?